Applications of the Jacobi group to Quantum Mechanics

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dc.creatorBerceanu, S.
dc.creatorGheorghe, A.
dc.date2008-12-02
dc.date.accessioned2026-07-07T12:08:36Z
dc.date.available2026-07-07T12:08:36Z
dc.descriptionInfinitesimal holomorphic realizations for the Schrödinger-Weil representation and the discrete series representations of the Jacobi group are constructed. Explicit expressions of the basic differential operators are obtained. The squeezed states for the unitary irreducible representation of the Jacobi group are introduced. Matrix elements of the squeezed operators, expectation values of polynomial operators in infinitesimal generators of the Jacobi group, the squeezing region and a description of Mandel's parameter are presented.
dc.description8 pages, Communication at the Third National Conference on Theoretical Physics, Busteni, Romania, June 10 -13, 2008, to appear in Rom. Journ. Phys. Vol 53, No 9-10, 1013-1021, 2008
dc.identifierhttps://arxiv.org/abs/0812.0448
dc.identifierhttp://arxiv.org/abs/0812.0448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209372
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subjectOptics
dc.subject81R30; 33C47; 32Q15; 20C35; 81V80
dc.titleApplications of the Jacobi group to Quantum Mechanics
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